Bifurcations in a system of coupled maps are investigated. Using symbolic dynamics it is proven that for coupled shift maps the well known space–time– mixing attractor becomes unstable at a critical coupling strength in favour of a synchronized state. For coupled non–hyperbolic maps analytical and numerical evidence is given that arbitrary small coupling changes the dynamical behaviour. The ano...

In this study, we define the notion of conformal semi-slant Riemannian maps from almost Hermitian manifolds onto as a generalization submersions. We give examples for type maps. study integrability conditions distributions. addition, apply pluriharmonic to investigate being horizontally homothetic map. Moreover, examine that under which cases, distributions can totally geodesic foliations.

Using the existence of solutions for equilibrium equations with a Neumann type boundary condition as developed by Shi and Liao (J. Inequal. Appl. 2015:363, 2015), we obtain the Riesz integral representation for continuous linear maps associated with additive set-valued maps with values in the set of all closed bounded convex non-empty subsets of any Banach space, which are generalizations of in...

Let $mathcal{H}$ and $mathcal{K}$ be infinite dimensional Hilbert spaces, while $mathcal{B(H)}$ and $mathcal{B(K)}$ denote the algebras of all linear bounded operators on $mathcal{H}$ and $mathcal{K}$, respectively. We characterize the forms of additive mappings from $mathcal{B(H)}$ into $mathcal{B(K)}$ that preserve the nonzero idempotency of either Jordan products of operators or usual produc...

This article consists in two independent parts. In the first one, we investigate the geometric properties of almost periodicity of model sets (or cut-and-project sets, defined under the weakest hypotheses); in particular we show that they are almost periodic patterns and thus possess a uniform density. In the second part, we prove that the class of model sets and almost periodic patterns are st...

Let ~ C R n and n > 4 be even. We show that if a sequence {uJ } in W l'n/2 (f2; R n) is almost conformal in the sense that dist (Vu j , R+ SO(n) ) converges strongly to 0 in L n/2 and i f u j converges weakly to u in W 1,n/2, then u is conformal and VuJ ~ Vu strongly in Lqoc for all 1 < q < n/2. It is known that this conclusion fails i f n~2 is replaced by any smaller exponent p. We also prove ...

The MacWilliams Extension Theorem states that each linear isometry of a linear code extends to a monomial map. Unlike the linear codes, in general, additive codes do not have the extension property. In this paper, an analogue of the extension theorem for additive codes in the case of additive MDS codes is proved. More precisely, it is shown that for almost all additive MDS codes their additive ...